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3 years ago

Point h is between g and i. If gh = 2x2 + 7x, hi = 9x – 2, and gi = 38, find the length of gh, hi and the possible values of x.

1 answer:

4 0

2x²+7x+9x-2=38
2x²+16x-40=0
2(x²+8x-20)=0
2(x+10)(x-2)=0
x=-10 or x=2
if we let x=-10 we get negative lengths for some of the segments which is not allowed so discard it. for x=2,

gh=22, hi=16, and gi=38

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